25/22
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Ratio
25/22
Factorization
2-1 × 52 × 11-1
Monzo
[-1 0 2 0 -1⟩
Size in cents
221.30949¢
Names
ptolemismic whole tone,
undecimal acute whole tone
Color name
1uyy2, luyoyo 2nd
FJS name
[math]\text{A2}^{5,5}_{11}[/math]
Special properties
reduced
Tenney height (log2 nd)
9.10329
Weil height (log2 max(n, d))
9.28771
Wilson height (sopfr(nd))
23
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.19865 bits
[sound info]
open this interval in xen-calc
| Interval information |
undecimal acute whole tone
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
25/22, the ptolemismic whole tone or undecimal acute whole tone, is an 11-limit interval. It is sharp of 9/8, the Pythagorean whole tone, by 100/99, the ptolemisma, hence the name. It is also flat of 8/7, the septimal major second, by 176/175, the valinorsma. Another interval close to it but simpler is 17/15, from which it is separated by 375/374.